請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/715完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳逸昆(I-Kun Chen) | |
| dc.contributor.author | Jhe-Kuan Su | en |
| dc.contributor.author | 蘇哲寬 | zh_TW |
| dc.date.accessioned | 2021-05-11T05:00:03Z | - |
| dc.date.available | 2020-08-06 | |
| dc.date.available | 2021-05-11T05:00:03Z | - |
| dc.date.copyright | 2019-08-06 | |
| dc.date.issued | 2019 | |
| dc.date.submitted | 2019-08-01 | |
| dc.identifier.citation | [1] Feller, William. An introduction to probability theory and its applications. Vol. II. Second edition, 1971,Pages 443
[2] Laurens de Haan. An Abel-Tauber Theorem for Laplace Transforms Journal of the London Mathematical Society, Volume s2-13, Issue 3, 1 August 1976, Pages 537 [3] H.S. Carslaw, J.C. Jaeger. Operation method in applied Mathematics,1947, Pages 282 | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/handle/123456789/715 | - |
| dc.description.abstract | 在這篇論文中，我們主要討論拉普拉斯轉換如何影響一個給定函數的漸進行為。研究發現，一個函數f(t)在t很大的行為會影響L(f)(s)在s很小的漸進行為。更進一步在某些狀況下我們可以藉由L(f)(s)的漸進行為去推得f(t)在t很大的漸進行為。這篇論文主要使用實分析技巧。我們還將此結果與Abelian and Tauberian Theorem of Laplace transform 進行比較。 | zh_TW |
| dc.description.abstract | In the present thesis, we concern the relation between the function and its Laplace transform. More precisely, the asymptotic behavior when t is large (small) implies asymptotic behavior of its Laplace transform when s is small (large) and vice versa, especially, for critical exponent we provide a simple sufficient and necessary condition. Our approach only involves real analysis. We will also compare the result with Abelian and Tauberian Theorem of Laplace transform. | en |
| dc.description.provenance | Made available in DSpace on 2021-05-11T05:00:03Z (GMT). No. of bitstreams: 1 ntu-108-R06221005-1.pdf: 1066436 bytes, checksum: 2bae2b5422e44dc2226a7788226447e4 (MD5) Previous issue date: 2019 | en |
| dc.description.tableofcontents | 口試委員會審定書……………………………………………………………… i
中文摘要………………………………………………………………………… ii 英文摘要…………………………………………………………………………. iii 第一章 Introduction…………………………………………………………… 1 第二章 Relation between behaviour of the function and its transformed type (1)………………………………………………………………….. 3 第三章 Relation between behaviour of the function and its transformed type (2)………………………………………………………………….. 9 第四章 Non-informativeness of polynomial term of the transformed function………………………………………………………………….. 15 第五章 The difference with the previous result ………………………………. 16 參考文獻…………………………………………………………………….…… 19 | |
| dc.language.iso | zh-TW | |
| dc.subject | 拉普拉斯轉換 | zh_TW |
| dc.subject | Laplace transform | en |
| dc.title | 漸進行為與拉普拉斯轉換的關係 | zh_TW |
| dc.title | Asymptotic behavior on Laplace Transform | en |
| dc.date.schoolyear | 107-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 夏俊雄(Chun-Hsiung Hsia),沈俊巖(Chun-Yen Shen) | |
| dc.subject.keyword | 拉普拉斯轉換, | zh_TW |
| dc.subject.keyword | Laplace transform, | en |
| dc.relation.page | 24 | |
| dc.identifier.doi | 10.6342/NTU201901693 | |
| dc.rights.note | 同意授權(全球公開) | |
| dc.date.accepted | 2019-08-01 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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|---|---|---|---|
| ntu-108-1.pdf | 1.04 MB | Adobe PDF | 檢視/開啟 |
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